Greatest Common Factor of 265/60, 496/35, 406/79

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 265/60, 496/35, 406/79

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 265/60,496/35,406/79

Given fractions are 265/60,496/35,406/79

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 265,496,406

Greatest Common Factor of Numerators i.e. GCF of 265,496,406 is 1 .

LCM of Denominators means LCM of 60,35,79 as per the given fractions.

LCM of 60,35,79 is 33180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 265,496,406

GCF of Fractions 265/60,496/35,406/79 is 1/33180

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 265,496,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 265,496,406 By Matching Biggest Common Factor Method

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 265,496,406 . The biggest common factor number is the GCF number.
So the greatest common factor 265,496,406 is 1.

Lets's calculate LCM of 60,35,79

5 60, 35, 79
12, 7, 79

∴ So the LCM of the given numbers is 5 x 12 x 7 x 79 = 33180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33180

Therefore, the GCF of Fractions 265/60,496/35,406/79 is 1/33180

Least Common Multiple of 60,35,79 with GCF Formula

Least Common Multiple of 60,35,79 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 60,35,79 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,35,79) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(60,35,79) x common factors =1 x 5 = 5

LCM(60,35,79) = ( 60 × 35 × 79 ) / 5

LCM(60,35,79) = 165900 / 5

LCM(60,35,79) = 33180


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 265/60, 496/35, 406/79

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 265/60, 496/35, 406/79?

Answer: GCF of Numerators as per given numbers 265/60, 496/35, 406/79 is

GCF of Numerators i.e. for 265,496,406 is 1

LCM of denominators i.e. for 60,35,79 is 33180.

Thus, GCF of Fractions is 1/33180.Finally, GCF of Fractions for 265/60, 496/35, 406/79 is 1/33180.